1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elina [12.6K]
3 years ago
8

A sector of a circle has a central angle measuring 15 degrees and the radius of the circle measures 9 inches. What is the arc le

ngth of the sector? Express the answer in terms of Pi.
Recall that StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction.
StartFraction 3 over 8 EndFraction pi inches
Three-fourths pi inches
1 and StartFraction 3 over 8 EndFraction pi inches
1 and one-half pi inches

Mathematics
1 answer:
Kamila [148]3 years ago
5 0

Answer:

Arc length is \dfrac{3\pi }{4}\ \text{inches}

Step-by-step explanation:

We have,

Central angle is 15 degrees and the radius of the circle measures 9 inches.

It is required to find the arc length of the sector.

The relation between arc length and the central angle is given by :

\dfrac{\text{arc length}}{\text{circumference}}=\dfrac{\theta}{360}

Circumference, C=2\pi r=18\pi

\theta=15^{\circ}

\dfrac{x}{18\pi }=\dfrac{15}{360}\\\\\dfrac{x}{18\pi }=\dfrac{1}{24}\\\\x=\dfrac{18\pi }{24}\\\\x=\dfrac{3\pi }{4}\ \text{inches}

Hence, the correct option is (b).

You might be interested in
Find the Perimeters of the rectangle whale<br>degonal is 5cm and lenght is 4cm ​
amid [387]

Answer:

14

Step-by-step explanation:

First, we have to get the breadth value.

By the pythagoras theoreom,

Diagonal²=length² + breadth²

breadth = √( Diagonal²- length²)

breadth = √( 5² - 4²)

breadth = √9

breadth= 3

Perimeter of a rectangle = 2x ( length + breadth)

                                         = 2 x (  4 + 3)

                                         = 2 x 7

                                         = 14

3 0
3 years ago
Calculating percentages. no links
Alenkasestr [34]

Answer:

35%

Step-by-step explanation:

Its 7/20 so 0.35 and then times 100

4 0
3 years ago
Read 2 more answers
HELP PLEASE!!!!!!!!!!!!!!!!!!
Doss [256]
I can not see the answer or the question
6 0
3 years ago
I need help ASAP help me answer questions and then I put a picture up
olya-2409 [2.1K]

Answer:

(-4,9)

Step-by-step explanation:

To solve the system of equations, you want to be able to cancel out one of the variables. In this case, it'd be easiest to cancel out the x variables. To do this, you'll want to multiply everything in the first equation by 2 (2(x-5y=-49)=2x-10y=-98). Then, you can add the two equations together. 2x and -2x will cancel out, so you'll be left with -11y=-99. Next, solve for x by dividing both sides of the equation by -11, which will give you y=9. This is your y-coordinate! At this point, you're halfway to the answer as you just need your x-coordinate. It's not too difficult to find the x-coordinate, since you just substitute 9 into one of the equations. It doesn't matter which one you choose as you should get the same answer with both. I usually substitute the y-value into both equations, though, just to make sure I'm correct. Once you put the y-value into the equations, you should get x=-4 after solving it. :)

5 0
3 years ago
Solve, using linear combination. <br> 3x + y = 4<br> 2x + y = 4
nataly862011 [7]
X would be 0 while Y would be 4

  3x+y=4
  -(2x+y=4)
----------------
x=0

Plug in x to any of those two equations in their original form

3(0)+y=4

0 + y = 4

y = 4
8 0
3 years ago
Other questions:
  • Trey reads 10 pages in 25 minutes. At the rate, how many pages will he read in 45 minutes?
    11·1 answer
  • What is [(1/16) + (1/4)] * [(2/3) * (1/4)]? Simplify the answer and write as a proper fraction. *
    5·1 answer
  • - 4(x + 2) = - 2x + 1<br> HELP MEEEEE
    13·1 answer
  • Can someone explain how to do these
    6·1 answer
  • You can solve equations using____________, which undo each other.
    6·2 answers
  • (6x^1) ^2 <br> Please show all work
    13·1 answer
  • What is the measure of angle D?<br><br> 52<br> 54<br> 57<br> 126
    13·2 answers
  • !!PLEASE ANSWER ASAP!!<br><br> is the relation a function?
    7·1 answer
  • I request help please,and thank you.
    8·1 answer
  • Which value is in the domain of f(x)?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!